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Chapter 5: Q4 (page 199)

Complete the following statement with the word always, sometimes, or never.

A rhombus is ___ a parallelogram.

Short Answer

Expert verified

A rhombus is always a parallelogram.

Step by step solution

01

Step 1. Apply the concept of parallelogram and rhombus.

A parallelogram is a quadrilateral with opposite sides parallel and therefore congruent as well as opposite angles congruent.

A rhombus is a quadrilateral with all sides equal and opposite angles are congruent.

02

Step 2. Step description.

Since a rhombus is a quadrilateral with all sides congruent and opposite angles congruent and also a parallelogram is a quadrilateral with opposite sides parallel and therefore congruent as well as opposite angles congruent.

Therefore, a rhombus possesses all the properties of a parallelogram.

03

Step 3. Step description.

Since a rhombus possesses all the properties of a parallelogram thus a rhombus is always a parallelogram.

Therefore, a rhombus is always a parallelogram.

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Suppose that ∠M is a right angle. What can you deduce about angles G, R, and A?

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